Construction of a Holographic Superconductor in F(R) Gravity

TL;DR

This paper develops a holographic superconductor model within F(R) gravity, analyzing how non-linear Maxwell fields and curvature corrections influence the critical temperature and condensation process.

Contribution

It introduces a novel holographic superconductor model incorporating non-linear Maxwell fields and F(R) gravity, providing analytical insights into their effects on superconductivity.

Findings

Non-linear Maxwell fields and curvature corrections hinder condensation.

Superconductivity occurs below a specific critical temperature.

Analytical matching methods effectively analyze the model.

Abstract

We construct a toy model for holographic superconductor with non linear Maxwell field in the frame of modified gravity. By probe the bulk background by non linear Maxwell fields we show that superconductivity happens under a specific critical temperature. The effect of the non linear Maxwell field and non linear curvature corrections have been studied by analytical matching methods. We conclude that the non linearity in Maxwell field and curvature coupling make condensation harder.